1. (I)Graphs of the Form y  f  x
The graph of y  f  x  can be sketched by first drawing y  f  x 
and noticing;
 f  x  is only defined if f  x   0

2. y  f x
y
1
x
-1

3. (I)Graphs of the Form y  f  x
The graph of y  f  x  can be sketched by first drawing y  f  x 
and noticing;
 f  x  is only defined if f  x   0
 f  x   0 for all x in the domain
 f  x   f  x  if f  x   1 and f  x   f  x  if f  x   1

4. y  f x
y
1
x
-1

5. (I)Graphs of the Form y  f  x
The graph of y  f  x  can be sketched by first drawing y  f  x 
and noticing;
 f  x  is only defined if f  x   0
 f  x   0 for all x in the domain
 f  x   f  x  if f  x   1 and f  x   f  x  if f  x   1
dy f  x 
  implies;
dx f x
 stationary points must still be stationary points
 there are critical points where f  x   0

7. y  f x
y
y f x
1
x
-1

8. y  f x
y
y f x
1
x
-1

9. y
1
y 2  f x
x
-1